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Finding the Fourth Proportional to 10,453.30, 15,671.72 and 7,156.40

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Solution

The fourth proportional to 10,453.30, 15,671.72 and 7,156.40 is: 10,728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.30 : 15,671.72 = 7,156.40 : x
  2. Step 2: Convert to fraction form
    10,453.30/15,671.72 = 7,156.40/x
  3. Step 3: Cross multiply
    10,453.30x = 15,671.72 × 7,156.40
  4. Step 4: Simplify right side
    10,453.30x = 112,153,097.01
  5. Step 5: Solve for x
    x = 112,153,097.01/10,453.30
  6. Step 6: Final answer
    x = 10,728.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.